At the bottom of my profile there are some links to the "Domains currently linking to this page". Where do you come up with all those links? Some are not valid links, another is Google's home page. Is there a way for you to verify those links once in awhile (say monthly or less often) and delete the ones that are not valid? Or give is the option to edit the list and remove invalid ones ourselves.

The links point to the domain names of sites that, at some point, have linked to your profile. Search engine results don't count, so Google's homepage is included, for example, because at some point or another, someone probably visited a page in Google's cache and then clicked through from that page to your profile.